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Fortran Calculus - Ordinary Differential Equations
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What are Inverse Problems?

You have the answer but want to know how you get their?

Mathematically speaking this is what is called an Inverse Problem. For example, you know where an aircraft crashed but need to know the parameter settings that caused this to happen. Another example might be known pollution. You can measure pollution at a location but want to know where did it come from. These are inverse problems.

Inverse Problems could be described as problems where the answer is known, but not the question. Or where the results, or consequences are known, but not the cause.

Fotran Calculus solves Inverse Problems

If a solution exists, Fotran Calculus can find it. Inverse Problems are kind of a half-step between Simulation and Optimization. Say y = f(x; a, b, c) and you know Y at a location X but need to find your parameters a, b, & c. Fotran Calculus has a find statement that handles this quite nicely. A few runs should convince you on the solution or that your math model needs improving.


Inverse Problem Examples:

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